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Article: On simultaneous s-cores/t-cores

TitleOn simultaneous s-cores/t-cores
Authors
KeywordsGenerating functions
Partitions
t-cores
Characterization
Function evaluation
Issue Date2009
Citation
Discrete Mathematics, 2009, v. 309 n. 9, p. 2712-2720 How to Cite?
AbstractIn this paper, the authors investigate the question of when a partition of n∈N is an s-core and also a t-core when s and t are not relatively prime. A characterization of all such s/t-cores is given, as well as a generating function dependent upon the polynomial generating functions for s/t-cores when s and t are relatively prime. Furthermore, characterizations and generating functions are given for s/t-cores which are self-conjugate and also for (e,r)/(e′,r)-cores.
Persistent Identifierhttp://hdl.handle.net/10722/192190
ISSN
2015 Impact Factor: 0.6
2015 SCImago Journal Rankings: 1.000
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorAukerman, Den_US
dc.contributor.authorKane, Ben_US
dc.contributor.authorSze, Len_US
dc.date.accessioned2013-10-23T09:27:17Z-
dc.date.available2013-10-23T09:27:17Z-
dc.date.issued2009en_US
dc.identifier.citationDiscrete Mathematics, 2009, v. 309 n. 9, p. 2712-2720en_US
dc.identifier.issn0012-365Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/192190-
dc.description.abstractIn this paper, the authors investigate the question of when a partition of n∈N is an s-core and also a t-core when s and t are not relatively prime. A characterization of all such s/t-cores is given, as well as a generating function dependent upon the polynomial generating functions for s/t-cores when s and t are relatively prime. Furthermore, characterizations and generating functions are given for s/t-cores which are self-conjugate and also for (e,r)/(e′,r)-cores.-
dc.languageengen_US
dc.relation.ispartofDiscrete Mathematicsen_US
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectGenerating functions-
dc.subjectPartitions-
dc.subjectt-cores-
dc.subjectCharacterization-
dc.subjectFunction evaluation-
dc.titleOn simultaneous s-cores/t-coresen_US
dc.typeArticleen_US
dc.description.naturepostprint-
dc.identifier.doi10.1016/j.disc.2008.06.024en_US
dc.identifier.scopuseid_2-s2.0-67349201438en_US
dc.identifier.volume309en_US
dc.identifier.issue9en_US
dc.identifier.spage2712en_US
dc.identifier.epage2720en_US
dc.identifier.isiWOS:000266541200009-

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